Each arrow represents a transformation from an expression to an equivalent expression. Label each arrow with the type of transformation that you observe: Associative Property ("AP"), Commutative Property ("CP"), or Computation ("Comp").
| Circles of Evaluation | |
|---|---|
1 |
(* (+ 12 3) 4) ⟶
(* 4 (+ 12 3)) ⟶
(* 4 (+ 3 12)) ⟶
(* 4 15)
|
2 |
(* (+ (+ n 5) 3) 8) ⟶
(* (+ n (+ 5 3)) 8) ⟶
(* 8 (+ n (+ 5 3))) ⟶
(* 8 (+ 8 n))
|
3 |
(+ (- 20 2) (+ 6 p)) ⟶
(+ 18 (+ 6 p)) ⟶
(+ (+ 18 6) p) ⟶
(+ 24 p)
|
4 |
(+ (+ g h) m) ⟶
(+ (+ h g) m) ⟶
(+ h (+ g m)) ⟶
(+ (+ g m) h)
|
5 |
(* (+ w (+ 6 5)) 8) ⟶
(* (+ w 11) 8) ⟶
(* 8 (+ w 11)) ⟶
(* 8 (+ 11 w))
|
These materials were developed partly through support of the National Science Foundation, (awards 1042210, 1535276, 1648684, 1738598, 2031479, and 1501927). 
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